MathDB
Problems
Contests
National and Regional Contests
India Contests
Postal Coaching
2005 Postal Coaching
3
3
Part of
2005 Postal Coaching
Problems
(1)
Solve an eqn
Source: Indian Postal Coaching 2005
9/22/2005
Find all real
α
\alpha
α
s.t.
[
n
+
α
+
n
]
=
[
4
n
+
1
]
[ \sqrt{n + \alpha} + \sqrt{n} ] = [ \sqrt{4n+1} ]
[
n
+
α
+
n
]
=
[
4
n
+
1
]
holds for all natural numbers
n
n
n
algebra unsolved
algebra